1. Tardigrade
  2. Question
  3. Chemistry
  4. The equilibrium constant Kc value for a gaseous homogeneous equilibrium at 227°C is 2.05 × 10-5 mol L-1 . The Kp value in atmosphere for this equilibrium at this same temperature is (R=8.2 × 10-2 L atm K-1 mol-1)

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Q. The equilibrium constant $ K_{c} $ value for a gaseous homogeneous equilibrium at $ 227^{\circ}C $ is $ 2.05 \times 10^{-5}\, mol\, L^{-1} $ . The $ K_{p} $ value in atmosphere for this equilibrium at this same temperature is
$ (R=8.2 \times 10^{-2} \, L \, atm \, K^{-1} \, mol^{-1}) $

J & K CETJ & K CET 2016Equilibrium

Solution:

$K_{p}=K_{c}(RT)^{\Delta\,n}$
From the units of $K_{c}, \Delta\,n=1$
$\Rightarrow K_{p}=2.05\times 10^{-5} (8.2\times 10^{-2}\times 500)$
$=8.405\times 10^{-4}$